Well, I apologize for using the term "religious freedom" to address a concept that I am familiar with. The concept was used to ask a question in a forum where most people were born after 1960. It was, therefore, not used in a medieval setting.
But I can rephrase my questions.
How is a noble from the Battlemaster world expected to react if his or her liege is of a different religion?
Would a region lord offer an oath to a noble of a different religion? Should such noble accept it?
The BM World is different because no religion existing in real life is allowed there. And a medieval setting is impossible to replicate once you eliminate Judaism, Christianity, and Islam.